, 1, 2015 660474,, ),, (473) 255-38-51 ) +7 (920) 432-16-57 E-mail: aa-der@yandexru Professor AA Shevtsov, graduate student AA Korotaeva, graduate student AS Murav ev (Voronezh state university of engineering technologies) Department of technology of breadmaking, confectionery, macaroni and grain processing industries phone (473) 255-38-5) Associate Professor AA Derkanosova (Voronezh State University of Engineering Technologies) Department of service and restaurant business phone +7 (920) 432-16-57 E-mail: aa-der@yandexru () Modeling of the spray drying process of green protein suspension concentrate (PGC) -, - (),,, -, - 10-75 % 20-100 % - 12 % -,, -, - (),, Summary Development and implementation of high-tech and energy-efficient methods of feed production is important and appropriate due to the fact that enterprises are not able to provide the market of feed consumers with high quality products at affordable prices To solve this problem, an alternative technology for the production of protein green concentrate (PGC) from the cormophyte mass of high protein plants was developed The most energy-intensive process of obtaining PGC is spray drying At the same time the problems of energy saving, and the product quality are solved by modeling The drying model developed in this study is based on the falling edge of evaporation, which is used in many studies of drops drying The problem of obtaining the basic equations of heat and mass transfer during the periods of constant and decreasing drying rate was to be solved It is also supposed that the drying takes place during the periods of constant and decreasing drying rate Basic equations of heat and mass transfer for both periods of drying were obtained Changing of thermophysical characteristics were determined by statistical methods in the range of PGC humidity of 10 75% and a temperature of 20 100% The model is solved by finite difference method with an accuracy of modeling results of 12% Method of finite differences is a numerical method for solving differential equations based on the replacement of derivative differences schemes and is the grid method Identification of model parameters to experimental data obtained in the experimental spray dryer was carried out The solution allows the mathematical model to determine the change in moisture content (DS concentration ) and drop radial temperature in the spray drying of the PGC concentrate that is necessary both to select the geometrical sizes of the dryer and the drying process parameters controlling :,,,, Keywords: feed production, protein green concentrate, spray drying, mathematical modeling, heat and mass transfer equation,,,, 2015 51
, 1, 2015, - - - () - [1, 2] -, - -,, [3] -, - [4, 5] - - -, - - - ( 1) - 1 : 1 2-3 4 5, -,, 6-7 - - 8 9 - - 10 11 - - [6] «STATISTICA 10» - 10-75 % 273-373 K: 10 7,15 10 9,54 10 + 1,14 10 2,00 10 3,66 10 + 4,88 10 9,76 10 + 0,16 + 0,75 6 1,18 1,17 10 9,18 10 T 4,77 10 + 7,71 10 + 6,81 10 + 2,53 10 9,67 10 0,95 11,13 1,64 1,64 10 1,41 10 T 1,24 10 + 1,15 10 + 9,91 10 + 3,43 10 1,41 10 1,31 1,53 10, - : 0<<, >0 [ +(1) ]= = 1 (1) ( ), 52
, 1, 2015,,,, (1) - : [ + (1 ) ] = = 1 (2),, K, : = + (1 ) (3) (2) : = + 2, (4) = () (4) : - : 0<<, =0 = (0), (0) - : = 0, >0 =0, =R, >0 =, : < < (), =0 [ ] = 1 ( ), (5) : = (6) (5) (6) : = + 2, (7) = : (), =0 =(0) : =, >0 = (), >0, = ( ) +, (8), ; -, 2 K;, K (8) - (), -, - - (8) : = ( ) +, (9) = ; = () -, - : =, >0 = ( ), (10) -, ;, ; - -, 3 (10) : = ( ), (11) -, ; -, K (10) : = ( ), (12) = : = (), =0 () = (0), (0) : = (13) - - : 0<<, >0 53
, 1, 2015 = + 2, (14) = ()( () ) - (14):, =0 = (0) = 0, >0 =0 =, >0 = < < (), >0,, ( 2) = + 2, (15) = () (15) : (), =0 =(0) =, >0 = (), >0 = ( )+, (16) () = ; () = = (), >0 = ( ), (17) = () (17): = (), =0 () =1 - - - 0,65 [7] = 2 + 0,65 ; (18) = 2 + 0,65, (19) = ; = ; = ; = ; =,, ;, 2 ;, K; -, 3 ;, ;, 2,,, -, -, - - ( 1) 2 : 1-2 - - 3 4 5 -, 6, 7 8, : 0<<(), >0 [ +(1) ]= = 1 (20) ( ), 54
, 1, 2015, -, - (4), (20) : = + 2, (21) = (), - : (), =0 =(), - : = 0, >0 =0, =(), >0 =, - (), : () < <, >0 [(1) ]= = 1 ( ) 1 (22) ( ), : : ; (23) (24), 2 = 2 3, (25) = + (1 ), (26) -, / K - - : = 1 + (27) +, = () ; = + 2 = + 2 + + + + : (), =0 = : = s(), >0, >0 + (28) (29) = ( ) (30) (29) -,, - - - (29): = +, (31) = ; = (28) - - : () < <, >0 [ ]= 1 ( ) (32) (32) : = + 2, (33) =, - (33): (, =0 =,, = (), >0 = ( ) =, >0 = ( ) : = (), >0 = (34) 55
, 1, 2015 (34) - : =, (35) =, - (35): = (), =0 () = (36) - (21)-(36): 0<<(), >0 = +, (37) () = ( + (1 ) ) (38) - (37) : (), =0 = () : : = 0, >0 =0 =(), (0) = () << 1, >0 + 2 = +2 + + + +, (39) = (1 ) ; (40) = (41) - (28) : ( 1, =0 = () = s(), >0 + (42) = 1, >0 = = ( ), (43) = () < < 1, >0 = = +, (44) (44) : ( 1, =0 = (()) () = (), >0 = ( ) = 1, >0 = ( ) = (), >0 =, = : = (), =0()=1 - (40) (41) - - - (1)-(44) - [8] 12 % ( 3) -, - [3] 3 (1) (2) T = 373K, W = 75%, (1)-(44) -, - - () -, -, - 56
, 1, 2015 1, - () //» : 2, 2014 142-143 2,,, // - - 2013 1 224-226 3,, -, - - // 2014 6 69-70 4 - - : : : 051708: 050206: 100671 :, 2006 200 5, - - // - - 2008 1 26-30 6 :, 1971 7 Ranz W E, Marshall W R Evaporation from drops //Chem Eng Prog 1952 48 3 141-146 8, - :, 1999 798 REFERENCES 1 Derkanosova AA, Korotaeva AA Prospects for the use of green protein concentrate (PZK) in feed production «Nauka i tehnologii v sovremennom obshhestve» materialy mezhdunarodnoj nauchno-prakticheskoj konferencii ["Science and technology in modern society, of" materials of the international scientific-practical conference] Ufa, 2014, pp 142-143 (In Russ) 2 Shevtsov AA, Drannikov AV, Derkanosova AA, Korotaeva AA Analysis of innovation attractiveness of plants vegetative growth in compound feed Vestnik Voronezhskogo gosudarstvennogo universiteta inzhenernykh tehnologii [Bulletin of the Voronezh State University of Engineering Technologies], 2013, no 1 (55), pp 224-226 (In Russ) 3 Magomedov GO, Magomedov MG, Shakhov SV, Saranov IA et al Installation for agglomeration of food powder semis combirdet way Sovremennye naukoemkie tekhnologii [Modern high technologies], 2014, no 6, pp 69-70 (In Russ) 4 Gordienko MG Modelirovanie i razrabotka nepreryvnoi tehnologii raspylitel'noi sushki probiotikov: na primere sushki biosuspenzii bifidobakterii Diss kand teh nauk [Modeling and development of a continuous spray drying technology of probiotics: the case of drying biosuspenzii bifidobacteria Diss cand tech sci] Moscow, 2006 200 p (In Russ) 5 Kutsov SV, Drannikov AV Physical and mathematical modeling of the process of roasting grain oats Vestnik Voronezhskogo gosudarstvennogo universiteta inzhenernykh tehnologij [Bulletin of the Voronezh State University of Engineering Technology], 2008, no 1, pp 26-30 (In Russ) 6 Vol'kenshtejn VS Skorostnoi metod opredeleniia teplofizicheskikh kharakteristik materialov [High-speed method for determining the thermal properties of materials] Leningrad, Energiia, 1971 340 p (In Russ) 7 Ranz W E, Marshall W R Evaporation from drops Chem Eng Prog, 1952, vol 48, no 3, pp 141-146 8 Tikhonov A N, Samarskii A A Uravneniia matematicheskoi fiziki [Equations of Mathematical Physics] Moscow, MGU, 1999 798 p (In Russ) 57